A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials

Taira, Kouichi

doi:10.1090/proc/15954

A remark on Strichartz estimates for Schrödinger equations with slowly decaying potentials
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Proc. Amer. Math. Soc. 150 (2022), 3953-3958 Request permission

Abstract:

In this short note, we prove Strichartz estimates for Schrödinger operators with slowly decaying singular potentials in dimension two. This is a generalization of the recent results by Mizutani, which are stated for dimension greater than two. The main ingredient of the proof is a variant of Kato’s smoothing estimate with a singular weight.

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